Answer:
117600
Step-by-step explanation:
50 x 49 x 48 = 117,600 ways
You have 50 possible for 1st, 49 for 2nd, 48 for 3rd
or
Permutations 50P3 = 117,600
There are total 59280 ways that can the runners finish first, second and third in a race.
What is permutation?
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
Formula for permutation[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]
Where,
[tex]nP_{r}[/tex] is permutation.
n is total number of objects.
r is number of objects selected.
According to the given question
Total number of runners, n = 40
Total number of runners to be selected for first, second and third position is 3 i.e. r = 3
Therefore,
The number of ways can the runners finish the first, second and third is given by
[tex]40P_{3} = \frac{40!}{((40-3)!} =(40)(39)(38)=59280[/tex]
Hence, there are total 59280 ways that can the runners finish first, second and third in a race.
Learn more about Permutation here:
https://brainly.com/question/2295036
#SPJ2
What is 4/9 increased by 1/3 ?
Answer:
7/9
Step-by-step explanation:
4/9 + 1/3
*Multiply top and bottom by 3
4/9 + 3/9
= 7/9
Using the formula below, find F, when f = 1000 and r = 8
Give your answer as a decimal number.
Answer: 15.625
Step-by-step explanation:
F = 1000/(8^2) = 1000/64 = 15.625
Answer:
F = 15.625
Step-by-step explanation:
This question may look quite tricky because of the square number, and fraction, but it is actually quite simple when you break it down.
To calculate this question we need to substitute the number 1000 (because we are told this is f) into where f is in our equation. Our new equation is F=1000/r^2.
Next, we need to substitute the number 8 (because we are told this is r) into where r is in our equation. Our new equation is F=1000/8^2.
At this stage, it is just a matter of putting this information directly into a calculator to find F. The answer we get is 125/8, and to get this is into decimal form, we just divide 8 by 125, and the answer is 15.625. This is our final answer.
I have attached a photograph of this calculation written down.
Definition of Linear relationship
Answer:
Résultat de recherche d'images pour "Definition of Linear relationship"
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b
Step-by-step explanation:
Help me ASAP pleasee!!!!!
Answer:
umm i think itz 16
Step-by-step explanation:
fycfyuyvt6vb
Answer:
X would be 16 since
x= 8
------
cos(8)
Write an equation for the description
Tanmayi wants to raise $165 for a school fundraiser. She has raised $130 so far. How much more does she
need to reach her goal? Let m be how much more is needed.
Answer:
She needs $55 more dollars
Step-by-step explanation:
Answer:
[tex]m + 130 = 165 \\ m = 165 - 130 = 35 \: dollars[/tex]
show your solution need an answer, please need an answer, please.
Answer:
As follows,
Step-by-step explanation:
You can solve these either by factoring or using the quadratic formula or other ways,
1. x^2+2x+1=0
Factoring,
(x+1)^2=0
x+1=0
x=-1
2.y^2-y-2=0
Using quadratic formula,
(-b±√(b^2-4ac))/2a
(--1±√(-1^2-4*1*-2))/2*1
(1±√(1+8))/2
(1±√(9))/2
(1±3)/2
y=(1±3)/2
y=(1+3)/2 y=(1-3)/2
y=4/2 y=-2/2
y=2 y=-1
3.y^2+y+1=0
Using quadratic formula,
(-b±√(b^2-4ac))/2a
(-1±√(1^2-4*1*1))/2*1
(-1±√(1-4))/2
(-1±√(3))/2
No real roots
4. x^2+9x+18=0
Using quadratic formula,
(-9±√(9^2-4*1*18))/2*1
(-9±√(81-72))/2
(-9±√(9))/2
(-9±3)/2
x=(-9+3)/2 x= (-9-3)/2
x=-6/2 x=-12/2
x=-3 x=-6
5.x^2+5x+6=0
Using quadratic formula,
(-5±√(b^2-4ac))/2a
(-5±√(5^2-4*1*6))/2*1
(-5±√(25-24)/2
(-5±1)/2
x=(-5+1)/2 x=(-5-1)/2
x=-4/2 x=-6/2
x=-2 x=-3
6. 3n^2-13n-10=0
Using quadratic formula,
(-b±√(b^2-4ac))/2a
(-(-13)±√(-13^2-4*3*(-10)))/2*3
(13±√(169-(-120))/6
(13±√289)/6
The discriminant b^2−4ac>0
So there are 2 real roots.
x=(13±17)/6
x=30/6 or x=-4/6
x=5 or x=-2/3
what is
210+185+190+x
What does x represent on this equation?
I could tell you that 210+185+190=585
Please let me know if this is true or false?
Answer:true
Step-by-step explanation:
true
If 7 4/5 is added to 2 3/4 , what is the sum?
Answer: 9 7/20
Step-by-step explanation:
7 4/5 + 2 3/4
Multiply the Denominators = 20
Add Numerators = 7
Add Whole Numbers = 9
Answer 9 7/20
Am item is priced at $14.26 if the sales tax is 7% what dose the item cost including sales Tax
Answer:
15.26
Step-by-step explanation:
Cody buys a baseball bat for $164.50 and a baseball glove for $37.25. He estimates the total cost of the bat and glove by rounding each cost to the nearest $10. Drag numbers to the boxes to show how Cody rounds the costs.
164.50+37.50= 201.75
gtu
Identify the unit rate in the graph.
A. 40mph
B. 75mph
C. 50mph
D. 25mph
Answer:
The unit rate is C. 50mph
Step-by-step explanation:
Take two points from the line,
I took points (1, 50) and (2, 100).
Then plug them into this formula:
y2-y1/x2-x1
Solve:
(100- 50)/(2 - 1)
100 - 50 = 50
2 - 1 = 1
50/1 = 50
So, you get C. 50mph
Answer:
The answer would be C. 50mph
Step-by-step explanation:
Got right on USA test prep
Hope this helps
Write the scale without units: 1 cm:1 km
Step-by-step explanation:
scale = 1/100000 .
hope this helps you.
Is (4,12) a solution to 2x+y=40
What is the value of y when x = 3 for the line defined by the equation y = -2x + 5?
Answer:
y=-1
Step-by-step explanation:
Plug in the value of x: y=-2(3)+5
Multiply: y=-6+5
Add: y=-1
To find simple interest, you multiply the principal (in dollars), the interest rate (as a decimal), and the time in years.
The equation 22.80 = 300 •019•4 shows how to find the simple interest for a certain account after 4 years. What
is the interest rate (as a percent)? How much is the simple interest? What is the principal?
What is the interest rate (as a percent)?
A. 1.9%
B. 22.80%
C. 0.019%
D. 300%
Here we have $400 originally and it is invested at an interest rate of 0.015 for 4 years.
Therefore we can say that the interest rate is 0.015 * 4 * 100 = 6% for the 4 years.
Simple interest is 6% / 4 = 1.5%.
And the principal is $400.
Solve using a proportion.
Answer:
i cant see it
Step-by-step explanation:
what is 200 x 300 kakakkakakakakkaakkkak
Answer:
60000 ty ..............
Answer:
60000
..............
what a difficult question !!! Do not ask such difficult questions ..lol
N
ΔABC ΔXYZ
Find the missing side length, s.
S=[ ? ]
Answer:
12
Step-by-step explanation:
*EASY* I WILL GIVE BRAINLIST TO THE FIRST RIGHT ANWSER
Ruby is visiting San Francisco. From her hotel she walks 2 blocks east an 4 blocks north to a coffee shop. Then she walks 4 blocks west and 3 blocks north to a museum. Where is the museum in relation to her hotel?
here's the format for the answer if it helps : The museum is _ blocks _(West/East) and _ blocks _(South/North) of her hotel.
Answer:
Step-by-step explanation:
Find the equation of the line through the point (1, 16) that is parallel
to the given line. Write your final answer in slope-intercept form.
2y – 14x = 12
James Joins Club One Which charges A Monthly membership of $19.99 How Much will James Spend In all, if he continues his membership for 6 months.
Answer:
$119.94
Step-by-step explanation:
If James pays $19.99 for 1 month then it would be $119.94 for 6 months, its technically just $19.99×6months
Write the polynomial that has factors of -15 and 3.
Answer:
Find the GCF of all the terms in the polynomial.
Express each term as a product of the GCF and another factor.
Use the distributive property to factor out the GCF.
Step-by-step explanation:
Which graph represents the solution set of this inequality?
5y + 9 < 24
Answer:
D
Step-by-step explanation:
open circle cause there is no line under the sign and the sign points left
Someone please HELP!!!
I’ll make it brainliest
Answer:
Step-by-step explanation:
Question 1) Take each point and move down two units. For example: Take point A, keeping it on the vertical line, and count two squares down, then place a new point there and call it A1. Do the same for each point in the parallelogram. Question 2) Take one point from parallelogram EFGH and move it two squares to the left. Then from that new point, count four squares down and place a new dot there. Do this for every point in the EFGH parallelogram. Question 3) This one is a bit trickier. Ok, so we know three points on the graph. L(-5, -5), M(-5, -2), and N(-2, -2). Ok so we know that if we plot these points, they will make three points in a square. All we need is the fourth point. To get that, we have to place all three points on the graph. Let's start with L. The coordinates are (-5, -5). Now, the first number is -5 which means to go 5 points to the left from the center point, then the next number is -5 again, so that means that from that point that we just made, you go 5 points down, and then that is your point L. Now, for point M, it is the same thing except for the second number, it tells us to go -2. So, instead of going 5 down like the first point, you must go 2 points down after you have to the left 5 points. REMEMBER: when plotting points, you always have o start in the center point(center of the graph). Negative numbers are always left and down. Positive numbers are always right and up. Do the same thing for point N (left 2, and then 2 down). After you have plotted all three of these points, you can see that there is one point missing. The point that we are missing is (-2, -5) (2 to the left, and 5 down).Question 4) Ok, so what you want to do is first plot your points. X(2, 1): start at center point and go 2 points to the right and one point up. Y(4,4): from center point, o 4 points to the right and the 4 points up. Z(5,2): from center point, go 5 points to the right then 2 points up. Now, connect your dots and it should make a triangle. Now for the tricky part. They want us to move our triangle 4 points down. So, start with letter Y and simply count 4 points down from its original point and place the new dot there. The new coordinates to this new Y point should be: (4, 0) (4 to the right of the center point and 0 up or down) So, this point should be on the line. The reason it is still 4 to the right is because all we did was move the point down and not left or right. DO this with the other two points and you should get: X(2, -3) (2 to the right and 3 down from center point) and Z(5, 2) (5 to the right and 2 down from center point)Question 5) THE FIRST NUMBER IS ALWAS THE NUMBER ON THE HORIZONTAL LINE.I. the point is is moved 4 to the right of the center point and 2 down. So it is (4, -2)
P. This point is moved negative 4 (to the left) and down 3 . So it is: (-4, -3)
G. This point is moved 5 to the right and then up 2 which makes it (5, 2)
Q. This point is moved 6 to the right and 4 down which makes it (6, -4)
R. This point is moved 2 to the left and 2 up which makes it (-2, 2)
S. (6, 4)
J. (-2, -4)
U. (-5, 0)
H. (3, -1)
K. (-6, -5)
GE bisects angle DGF , m angle DGE = 53º. Find m angle DGF.
M angle DGF
Answer:
4.5 degres
Step-by-step explanation:
f(x)=3x²-4x+2, what is f(-5), show work
Given f (x) = 3x^2 - 4x + 2; What is f (-5)
f (-5) = 3x^2 - 4x + 2
f (-5) = 3(-5)^2 - 4(-5) + 2
f (-5) = 3(25) - 4(-5) + 2
f (-5) = 75 + 20 + 2
f (-5) = 97
or
( -5 , 97 )
The cost of bananas varies directly with their weight. Miguel bought
3 1/2 pounds of bananas for $1.12. Write an equation that relates the cost of the bananas
to their weight. Then find the cost of 4 1/4 pounds of bananas
y= k x
c= k p
1.12 = k(3.5)
0.32 = k
y = 0.32x or c = 0.32p
y = 0.32x
y = 0.32(4.25)
y = $1.36
Joy is preparing 15 liters of 25% saline solution. She
only has 40% and 10% solution in her lab. How many liters of
the 10% should she mix to make the 25% solution?
Answer:
10 liters of 40% solution
10 liters of 10% solution
The curved surfaces area of a right circular cylinder is 264 sq. metres and its volume is 924 cu.metres. The diameter and height of the cylinder is
